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Simplifying 6(2n + -2) = (3n + 3) + 5 Reorder the terms: 6(-2 + 2n) = (3n + 3) + 5 (-2 * 6 + 2n * 6) = (3n + 3) + 5 (-12 + 12n) = (3n + 3) + 5 Reorder the terms: -12 + 12n = (3 + 3n) + 5 Remove parenthesis around (3 + 3n) -12 + 12n = 3 + 3n + 5 Reorder the terms: -12 + 12n = 3 + 5 + 3n Combine like terms: 3 + 5 = 8 -12 + 12n = 8 + 3n Solving -12 + 12n = 8 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -12 + 12n + -3n = 8 + 3n + -3n Combine like terms: 12n + -3n = 9n -12 + 9n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 9n = 8 + 0 -12 + 9n = 8 Add '12' to each side of the equation. -12 + 12 + 9n = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 9n = 8 + 12 9n = 8 + 12 Combine like terms: 8 + 12 = 20 9n = 20 Divide each side by '9'. n = 2.222222222 Simplifying n = 2.222222222
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